Can You Calculate This Formula Using Given Values?

  • Thread starter Thread starter Goosey23
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AI Thread Summary
A user requested assistance in calculating a formula using specific values for mass, radius, and time related to the Earth and the Moon. The provided values were m = 7.35 x 10^22 kg, r = 3.84 x 10^8 m, and T = 2358720 s. Another user calculated the result as approximately 2.0027443773 x 10^20 (kg*m/s/s), acknowledging the complexity of handling large numbers. The discussion confirmed that the calculation pertained to the gravitational force exerted by Earth on the Moon. Overall, the interaction highlighted the collaborative nature of problem-solving in the forum.
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I'm trying to help a friend out, would anyone be willing to be an extraordinary help and simply plug in the numbers for this formula and let me know the answer? It would be greatly appreciated.

Homework Equations



force_c5.gif


m = 7.35 x 10^22kg
r = 3.84 x 10^8
T = 2358720s


Thank you!
 
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2.0027443773 x 10^20 (kg*m/s/s)

Might be a little off, I haven't calculated such big numbers in my head in a long time.
Hope that helps!
 
dwintz02 said:
2.0027443773 x 10^20 (kg*m/s/s)

Might be a little off, I haven't calculated such big numbers in my head in a long time.
Hope that helps!

How did you know it was meters? Amazing. It's the force exerted by the Earth on the moon, isn't it?
 
Thanks so much guys, that's it! Mucho appreciated!
 
Haha, yeah you're right. I was hoping the 11 or so significant digits would be the funny part but the joke ended up being on me. And yeah, that's the distance to the moon from the earth.
 
dwintz02 said:
Haha, yeah you're right. I was hoping the 11 or so significant digits would be the funny part but the joke ended up being on me. And yeah, that's the distance to the moon from the earth.

Not at all, you were pretty funny as well. Goosey23, you just wanted a confirmation, right? You do know how to calculate that?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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